Consider a continuous process for the production of chemical $x$ from reactants A and $B.$ The

reaction takes place in a reactor $(R)$ where A and $B$ react to form $x.$ The reactor effluent is sent to a

separator $($S$)$ where X is separated from unreacted A and B$.$ A portion of the unreacted A and B is

recycled back to the reactor, while the rest is purged from the system. The following information is

given:

Reactor feed: $1000mo\frac{l}{h}r$ of A and $1500mo\frac{l}{h}r$ of $B$

Composition of reactor feed:

A: $40$mol$\%$

B: $60$mol$\%$

Conversion of $A$ in the reactor: $80\%$

Conversion of $B$ in the reactor: $60\%$

Composition of reactor effluent:

X: $75$mol$\%$

A: $15$mol$\%$

B: $10$mol$\%$

Separator efficiency: $95\%$ for X$,90\%$ for A$,$ and $85\%$ for B

Determine:

The flow rates of all streams leaving the reactor and separator.

The flow rates of the recycle and purge streams.